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Simplifying 2(k + 4) = 3(2k + -4) Reorder the terms: 2(4 + k) = 3(2k + -4) (4 * 2 + k * 2) = 3(2k + -4) (8 + 2k) = 3(2k + -4) Reorder the terms: 8 + 2k = 3(-4 + 2k) 8 + 2k = (-4 * 3 + 2k * 3) 8 + 2k = (-12 + 6k) Solving 8 + 2k = -12 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 8 + 2k + -6k = -12 + 6k + -6k Combine like terms: 2k + -6k = -4k 8 + -4k = -12 + 6k + -6k Combine like terms: 6k + -6k = 0 8 + -4k = -12 + 0 8 + -4k = -12 Add '-8' to each side of the equation. 8 + -8 + -4k = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -4k = -12 + -8 -4k = -12 + -8 Combine like terms: -12 + -8 = -20 -4k = -20 Divide each side by '-4'. k = 5 Simplifying k = 5
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